Problem:
John ordered pairs of black socks and some additional pairs of blue socks. The price of the black socks per pair was twice that of the blue. When the order was filled, it was found that the number of pairs of the two colors had been interchanged. This increased the bill by . The ratio of the number of pairs of black socks to the number of pairs of blue socks in the original order was:
Answer Choices:
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Solution:
Let be the number of pairs of blue socks, and let be the price of a pair of blue socks. Then is the price of a pair of black socks. The incorrect bill was higher than the original bill, which gives the equation:
Divide by and solve for :
The original order was for pairs of black socks and pairs of blue socks. The required ratio of black to blue socks is: